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Simplifying -3(3m + -8) + 10(m + -2) = 13 + -7 Reorder the terms: -3(-8 + 3m) + 10(m + -2) = 13 + -7 (-8 * -3 + 3m * -3) + 10(m + -2) = 13 + -7 (24 + -9m) + 10(m + -2) = 13 + -7 Reorder the terms: 24 + -9m + 10(-2 + m) = 13 + -7 24 + -9m + (-2 * 10 + m * 10) = 13 + -7 24 + -9m + (-20 + 10m) = 13 + -7 Reorder the terms: 24 + -20 + -9m + 10m = 13 + -7 Combine like terms: 24 + -20 = 4 4 + -9m + 10m = 13 + -7 Combine like terms: -9m + 10m = 1m 4 + 1m = 13 + -7 Combine like terms: 13 + -7 = 6 4 + 1m = 6 Solving 4 + 1m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1m = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1m = 6 + -4 1m = 6 + -4 Combine like terms: 6 + -4 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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